## Evolution of number lengths

This graph shows the evolution of the length of the numbers in the Fibonacci sequence, illustrating how the values increase rapidly as you progress through the series.

For example, the 8th term of the sequence is 13 has a length of 2 digits, while the 13th term is 144 has a length of 3 digits.

## Evolution of the sum of the digits of a number

This graph shows the evolution of the sum of the digits of the numbers in the Fibonacci sequence. It shows how the sum of the digits evolves in a fluctuating but generally ascending manner, reflecting the complex nature of the Fibonacci sequence.

For example, for the 8th term of the sequence, which is 13, the sum of the digits is 1 + 3 = 4. For the 13th term, which is 144, the sum of the digits is 1 + 4 + 4 = 9.

## Evolution of number values

This graph shows the evolution of the value of the numbers in the Fibonacci sequence, revealing how each number rapidly becomes exponentially larger than the previous ones.

For example, the 8th term of the sequence is 13, the 13th term is 144 and the 31st term is already 832040.

## Evolution of the accuracy of the golden ratio

This graph shows the evolution of the precision of the golden ratio (φ) in number of decimals through the terms of the Fibonacci sequence. This is because the ratio between two successive terms of the Fibonacci sequence tends towards the golden number, i.e. approximately 1.6180339887... So, as the terms of the Fibonacci sequence increase, the approximation to the golden number becomes more precise, following a convergence towards the exact value of φ.

For example, for terms 9 = 21 and 8 = 13, the ratio 21/13 ≈ 1.61538 is an approximation to φ, with only 2 correct decimal places.

*More coming soon...*